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(c). {z € C : |z – 1| + |z – i| < 2v2}, (d). {z € C : 1/2 < |z – 1| < v2} U{ z € C : 1/2 < |2 + 1| < v2}.

(c). {z € C : |z – 1| + |z – i| < 2v2}, (d). {z € C : 1/2 < |z – 1| < v2} U{ z € C : 1/2 < |2 + 1| < v2}.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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4.1. Shade the following regions and determine whether they are open and connected: (a). {z E C: - /3 < arg z < T/2}, (b). {z € C : |z – 1| < |z + 1|}, (c). {z € C : |z – 1|+ |2 – i| < 2/2}, (d). {z € C : 1/2 < |2 – 1| < v2} U{z € C : 1/2 < |2 + 1| < v2}.
Transcribed Image Text:4.1. Shade the following regions and determine whether they are open and connected: (a). {z E C: - /3 < arg z < T/2}, (b). {z € C : |z – 1| < |z + 1|}, (c). {z € C : |z – 1|+ |2 – i| < 2/2}, (d). {z € C : 1/2 < |2 – 1| < v2} U{z € C : 1/2 < |2 + 1| < v2}.
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